In mathematical formulation of many problems in physics, engineering, economics, and their solutions, matrix theory plays a vital role. Infinite matrices arise more naturally than finite matrices. Infinite matrices have a colorful history having developed from sequences, series, and quadratic forms. Present day applications include extensive use of operator theory in eigenvalue problems, signal theory, and differential equations on semi-infinite intervals, just to name a few. Advances in theory and application of finite matrices have been in inverse, and their extension, to generalized positive matrices, diagonally dominant matrices, and in use of finite differences and finite elements in partial differential equations, again just to name a few. Perturbation theory and eigenvalue problem are of interest to numerical analysts, statisticians, physical scientists, and engineers. We invite authors focusing on the recent advances, both abstract and pure. Potential topics include, but are not limited to:

• Inverse positive matrices including M-matrices
• Applications of operator theory
• Matrix perturbation theory and pseudospectra
• Matrix functions and generalized eigenvalue problems
• Inverse problems including scattering
• Matrices over quaternions